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Bot GPT 3.5 We have two fractions, $-\frac35$ and $-\frac82,$ to add. Since 2 divides both 3 and 8, we can write
\[-\dfrac{3}{5}+\left(-\dfrac{8}2\right) = -\dfrac{3}{5} + \left(-\dfrac{4}{1}\right).\]Then
\[-\dfrac{3}{5}+\left(-\dfrac{8}2\right) = -\dfrac{3}{5} - \dfrac{4}{1}.\]To subtract these fractions, we need a common denominator. The least common multiple of 5 and 1 is 5, so we multiply the first fraction by $\frac{1}{1}$ and the second fraction by $\frac{5}{5}.$ This gives us
\[-\dfrac{3}{5}+\left(-\dfrac{8}2\right) = -\dfrac{3}{5} - \dfrac{4}{1} = -\dfrac{3 \cdot 1}{5 \cdot 1} - \dfrac{4 \cdot 5}{1 \cdot 5}.\]This simplifies to
\[-\dfrac{3}{5}+\left(-\dfrac{8}2\right) = -\dfrac{3}{5} - \dfrac{20}{5}.\]Thus, the sum is $\boxed{-\dfrac{23}{5}}.$